Answer:
c
Step-by-step explanation:
Using Pascal's triangle, the expansion, although EXTREMELY lengthy, will help you find the 7th term. I am going to type out the expansion only up til the 7th term (although there are actually 10 terms because we are raised to the power of 9). If you would like to learn how to use Pascal's Triangle for binomial expansion, you will need to visit a good website that explains it because it's just too difficult to do it via this website.
The expasion is as follows (up to the 7th term):

That last term is the 7th term. You find out its value by multiplying all the numbers together and adding on the c^3d^6. Again those come from Pascal's triangle, and it's one of the coolest math things ever. I encourage you to take the time to explore how it works.
Answer:
The salt concentration of the mixed solution = 10%
Step-by-step explanation:
First assuming that the concentration of salt given is on a vol% basis.
First solution has 0.7 gallon of 5% salt
Amount of salt in this solution = 5% × 0.7 = 0.035 gallon
Second solution has 0.3 gallon of 22% salt
Amount of salt in this solution = 22% × 0.3 = 0.066 gallon
Total amount of salt in the resulting solution = 0.035 + 0.066 = 0.101 gallon
Total volume of the resulting solution = 0.7 + 0.3 = 1.00 gallon
Concentration of the mixture of salt = (0.101/1) = 0.101 = 10.1% = 10% to the nearest percent
Hope this Helps!!!
Answer:
The point estimate for this problem is 0.48.
Step-by-step explanation:
We are given that a University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students.
A survey of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no".
<em>Let </em>
<em> = proportion of students who felt comfortable reporting cheating by their fellow students</em>
<u></u>
<u>Now, point estimate (</u>
<u>) is calculated as;</u>
where, X = number of students who answered yes = 1,344
n = number of students surveyed = 2,800
So, Point estimate (
) =
= <u>0.48 or 48%</u>